I thought I posted this last night but can't find it: IMHO, like turkey, pheasants are not made of iron. Any quality "high brass" has plenty of "power". I prefer a full choke for pheasant. Let a close flusher get out there a ways before touching off. Aim the gun like a rifle and put the bead right up it's ass. For crossers, try to concentrate on the head only or (if safe!) actually take the time to re-position your whole body to facilitate the aforementioned bead in the ass technique.
I have some of those hellfire Fed 2 3/4s ( 1 3/8oz @ 1450) and they are indeed effective on the bird AND shoulder but kill no more dead than a plain Jane Win Super X or Rem Express 1 1/4. IMHE. If you're not used to a FC imagine a 50ft shot string.